CN110873559A - Railway pier differential settlement monitoring method and device - Google Patents

Railway pier differential settlement monitoring method and device Download PDF

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Publication number
CN110873559A
CN110873559A CN202010050521.3A CN202010050521A CN110873559A CN 110873559 A CN110873559 A CN 110873559A CN 202010050521 A CN202010050521 A CN 202010050521A CN 110873559 A CN110873559 A CN 110873559A
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contact net
settlement
pier
piers
speed railway
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CN110873559B (en
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姚京川
王巍
胡在良
刘伯奇
周政
王一干
赵健业
王域辰
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Beijing Tieche Engineering Testing Co ltd
China Academy of Railway Sciences Corp Ltd CARS
Railway Engineering Research Institute of CARS
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Beijing Tieche Engineering Testing Co ltd
China Academy of Railway Sciences Corp Ltd CARS
Railway Engineering Research Institute of CARS
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
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Abstract

The invention discloses a railway pier differential settlement monitoring method and a device, and the method comprises the following steps: acquiring longitude and latitude coordinates of a high-speed railway pier and a contact net upright post; determining the positions of the high-speed railway bridge piers and the contact net columns and relevant distance parameters according to the longitude and latitude coordinates; the relevant distance parameters include: distance between piers and distance between contact net columns; extracting settlement information of the permanent scatterers of the contact net stand columns; and substituting the related distance parameters and the settlement information into a preset formula to calculate the settlement difference between adjacent piers of the high-speed railway. The method can accurately obtain the settlement difference between adjacent piers of the high-speed railway, and has higher reliability and accuracy; the manpower and material resources can be greatly saved, and the cost of monitoring the settlement of the high-speed railway infrastructure is reduced; and the monitoring period is short, and the problem of large-range periodic pier differential settlement monitoring is solved.

Description

Railway pier differential settlement monitoring method and device
Technical Field
The invention relates to the technical field of measurement or monitoring, in particular to a railway pier differential settlement monitoring method and device based on insar data.
Background
In order to ensure the stability and the smoothness of a track structure and further ensure the stability and the comfort of a train of a motor train unit, the design specification of high-speed railways in China strictly stipulates lower foundation settlement, particularly uneven settlement. The foundation of a local work point of some open-running high-speed railway lines is seriously settled and deformed under the influence of factors such as underground water level reduction, single-side pile loading of piers, regional water level change and the like. The settlement of the high-speed railway bridge in the service period is a long-term process and needs to be monitored for a long time.
Common settlement monitoring methods include precision leveling, settlement and deformation monitoring based on the principle of communicating pipe testing, and the like. The leveling instrument is influenced by factors such as sight distance, light rays and the like, is only suitable for traditional short-time observation or regular measurement, has low measurement precision, has large interference on the measurement result due to artificial influence, and particularly realizes closed operation on a high-speed railway, and the traditional manual-dependent field measurement is difficult to implement in a large range for a long time; the settlement and deformation monitoring technology based on the communicating pipe testing principle is formed by combining the communicating pipe with the modern liquid level measuring technology, certain system errors can be generated after the liquid level is repeatedly changed for a long time due to the viscous resistance between liquid and the pipe wall and the capillary action between water and the pipe wall of the communicating pipe, the length of the communicating pipe and the like arranged on a line is limited, only aiming at a partial settlement area, and the full-coverage monitoring of the settlement deformation of a long and large line can not be realized.
Disclosure of Invention
In view of the above problems, the invention provides a railway pier differential settlement monitoring method and device, which can solve the technical problems of monitoring error, long monitoring period and high monitoring cost in the prior art; the settlement difference between adjacent piers of the high-speed railway can be accurately obtained.
In a first aspect, the invention provides a railway pier differential settlement monitoring method, which comprises the following steps: acquiring longitude and latitude coordinates of a high-speed railway pier and a contact net upright post;
determining the positions of the high-speed railway bridge piers and the contact net columns and relevant distance parameters according to the longitude and latitude coordinates; the relevant distance parameters include: the distance between piers and the distance between contact net columns;
extracting settlement information of the permanent scatterers of the contact net stand columns;
and substituting the related distance parameters and the settlement information into a preset formula to obtain the settlement difference value between adjacent piers of the high-speed railway.
In one embodiment, acquiring longitude and latitude coordinates of a high-speed railway pier and a contact net upright column comprises the following steps:
and the portable Beidou or GPS receivers are adopted at the top of the high-speed railway pier and the bottom of the contact net upright column to obtain longitude and latitude coordinates of the high-speed railway pier and the contact net upright column.
In one embodiment, extracting the sedimentation information of the catenary column permanent scatterers comprises:
and extracting the settlement information of the permanent scatterer of the contact net upright post according to a time sequence differential radar interferometry, geotechnical measurement and/or conventional geodetic measurement mode.
In one embodiment, substituting the relevant distance parameter and the settlement information into a preset formula to obtain a settlement difference value between adjacent piers of the high-speed railway comprises:
calculating the relevant distance parameters and the settlement information by a linear interpolation algorithm to obtain a settlement difference value between adjacent piers of the high-speed railway;
the linear interpolation algorithm is calculated as follows:
the monitoring range is arranged to include: three bridge piers and two upright columns; the three piers are respectively A #, B # and C #; the two upright columns are a contact net upright column 1 and a contact net upright column 2;
the differential settlement information of the contact net column 1 and the contact net column 2 isQ lc A distance ofL 1 (ii) a The distances between A # and B # piers and between B # and C # piers are allL 2
Figure 699846DEST_PATH_IMAGE001
(1)
Figure 810890DEST_PATH_IMAGE002
(2)
In the formula (I), the compound is shown in the specification,
Figure 100002_DEST_PATH_IMAGE003
the settlement difference between A # and B # is shown;
Figure 913975DEST_PATH_IMAGE004
the distance between a contact net upright post 1 and an A # pier is represented;
Figure 401457DEST_PATH_IMAGE005
the distance between a contact net upright post 1 and a B # pier is represented;
Figure 100002_DEST_PATH_IMAGE006
the distance between a contact net upright post 1 and a C # pier is represented;
Figure 171967DEST_PATH_IMAGE007
the difference in sedimentation between B #, C # is shown.
In a second aspect, the present invention further provides a railway pier differential settlement monitoring device, including:
the acquisition module is used for acquiring longitude and latitude coordinates of a high-speed railway pier and a contact net upright post;
the determining module is used for determining the positions of the high-speed railway bridge piers and the contact net upright columns and relevant distance parameters according to the longitude and latitude coordinates; the relevant distance parameters include: the distance between piers and the distance between contact net columns;
the extraction module is used for extracting the settlement information of the permanent scatterer of the contact net stand column;
and the calculation module is used for substituting the relevant distance parameters and the settlement information into a preset formula to obtain the settlement difference value between adjacent piers of the high-speed railway.
In one embodiment, the acquisition module is specifically configured to acquire longitude and latitude coordinates of the high-speed railway pier and the overhead contact system column by using a portable Beidou or GPS receiver at the top of the high-speed railway pier and the bottom of the overhead contact system column.
In one embodiment, the extraction module is specifically configured to extract the settlement information of the catenary column permanent scatterer according to a time-series differential radar interferometry, a geotechnical survey and/or a conventional geodetic survey.
In one embodiment, the calculation module is specifically configured to perform linear interpolation algorithm calculation on the relevant distance parameters and the settlement information to obtain a settlement difference value between adjacent piers of the high-speed railway;
the linear interpolation algorithm is calculated as follows:
the monitoring range is arranged to include: three bridge piers and two upright columns; the three piers are respectively A #, B # and C #; the two upright columns are a contact net upright column 1 and a contact net upright column 2;
the differential settlement information of the contact net column 1 and the contact net column 2 isQ lc A distance ofL 1 (ii) a The distances between A # and B # piers and between B # and C # piers are allL 2
Figure 532541DEST_PATH_IMAGE001
(1)
Figure 654081DEST_PATH_IMAGE002
(2)
In the formula (I), the compound is shown in the specification,
Figure 23883DEST_PATH_IMAGE003
the settlement difference between A # and B # is shown;
Figure 835850DEST_PATH_IMAGE004
the distance between a contact net upright post 1 and an A # pier is represented;
Figure 632904DEST_PATH_IMAGE005
the distance between a contact net upright post 1 and a B # pier is represented;
Figure 710582DEST_PATH_IMAGE006
the distance between a contact net upright post 1 and a C # pier is represented;
Figure 884074DEST_PATH_IMAGE007
the difference in sedimentation between B #, C # is shown.
The technical scheme provided by the embodiment of the invention has the beneficial effects that at least:
the railway pier differential settlement monitoring method provided by the embodiment of the invention has the advantages that:
1. the invention can carry out large-scale automatic settlement monitoring on the high-speed railway pier or other infrastructure facilities.
2. The invention can carry out low-cost and short-period settlement monitoring on the high-speed railway pier or other infrastructure facilities.
3. According to the method, the settlement difference value between adjacent piers of the high-speed railway is obtained by obtaining the settlement difference value of the upright column of the contact network and combining longitude and latitude coordinates of the piers of the high-speed railway and the upright column of the contact network to carry out indirect calculation.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.
The technical solution of the present invention is further described in detail by the accompanying drawings and embodiments.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention and not to limit the invention. In the drawings:
fig. 1 is a flow chart of a railway pier differential settlement monitoring method provided by an embodiment of the invention;
FIG. 2 is a schematic diagram of a relative relationship between a high-speed railway 32m simply supported box girder bridge surface overhead line system upright post and a pier;
fig. 3 is a block diagram of a railway pier differential settlement monitoring device provided by the embodiment of the invention.
Detailed Description
Exemplary embodiments of the present disclosure will be described in more detail below with reference to the accompanying drawings. While exemplary embodiments of the present disclosure are shown in the drawings, it should be understood that the present disclosure may be embodied in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the disclosure to those skilled in the art.
The method for monitoring differential settlement of the railway pier provided by the embodiment of the invention is shown in figure 1 and comprises the following steps:
s11, acquiring longitude and latitude coordinates of high-speed railway piers and contact net columns;
s12, determining the positions of the high-speed railway pier and the contact net upright post and related distance parameters according to the longitude and latitude coordinates; the relevant distance parameters include: the distance between piers and the distance between contact net columns;
s13, extracting settlement information of the contact net upright post permanent scatterer;
and S14, substituting the relevant distance parameters and the settlement information into a preset formula to obtain the settlement difference value between adjacent piers of the high-speed railway.
The above steps are described in detail below.
In S11, the portable Beidou or GPS receivers can be adopted at the top of the pier and the bottom of the contact net upright post to obtain the accurate longitude and latitude coordinates of the pier and the contact net upright post of the high-speed railway. The apparatus can be manually held by a handheld navigator or directly arranged at the top of a pier and the bottom of an upright post of a contact network, and a Beidou Satellite Navigation System (BeiDou Navigation Satellite System, BDS) or a Global Positioning System (GPS) is used for carrying out precise measurement, so that the longitude and latitude coordinate information of the two can be acquired.
In the step S12, the positions of the high-speed railway pier and the contact network upright post, the distance between the adjacent pier and pier, the distance between the adjacent contact network upright post, and the distance between the adjacent pier and the contact network upright post can be determined according to the longitude and latitude coordinates of the high-speed railway pier and the contact network upright post.
In S13, based on the PS-Insar technology, a plurality of images are adopted, deformation information in an image range is obtained through processing, and the deformation information of the contact net stand column is obtained through manual or computer extraction according to longitude and latitude coordinates of the contact net stand column and longitude and latitude coordinate information of a Permanent Scatterer (PS) deformation point. In this embodiment, the catenary pillar may be regarded as a natural permanent scatterer PS.
The data source in this step is not limited to the use of a satellite time sequence differential radar Insar, and geotechnical measurement technologies (such as a settling plate method, a settling cup method, a hoop settlement gauge method, a hydraulic method and an inclinometer method) and conventional geodetic measurement technologies (such as a GPS and a precise level and the like) can be used as the data source. The settlement data source not only is a satellite time sequence difference radar interference technology, but also can be data of a manual or infrastructure monitoring information center, and the success rate of settlement monitoring of the infrastructures along the railway can be improved by acquiring the data in various modes.
The traditional means has the technical disadvantages of low detection efficiency, low spatial resolution, high detection cost and the like, wherein the time sequence differential radar interference technology is used as a data source, and the advantages are obvious.
The method has the advantages that the synthetic aperture radar interferometry technology is adopted to carry out coverage monitoring on the long and large high-speed railway line, the settlement deformation change trend of the whole road network infrastructure can be known and mastered, so that the change condition of key areas can be mastered, settlement aggravation and structural damage development can be timely controlled, and technical guarantee is provided for safe operation of the high-speed railway.
In S14, the settlement difference of the contact net posts is processed:
referring to fig. 2, for example, the monitoring range includes: three bridge piers and two upright columns; the three piers are respectively A #, B # and C #; the two upright columns are a contact net upright column 1 and a contact net upright column 2;
the bridge differential settlement limit value specified in the high-speed railway design specification is suitable for evaluating the differential settlement of adjacent piers, and the settlement difference value of adjacent contact nets obtained based on time sequence differential radar interference technology data has a certain relation with the differential settlement difference value of adjacent piers.
Assuming that the differential settlement value of the upright 1 and the upright 2 isQ lc And the differential settlement quantity of the A # pier, the B # pier and the C # pier is obtained without considering the influence of the thermal deformation and the upward arching of the beam body on the deformation quantity difference value of the contact net upright column in the two monitoring periods
Figure 629176DEST_PATH_IMAGE008
Figure DEST_PATH_IMAGE009
The approximation is:
the differential settlement information of the contact net column 1 and the contact net column 2 isQ lc A distance ofL 1 (ii) a The distances between A # and B # piers and between B # and C # piers are allL 2
Figure 46733DEST_PATH_IMAGE001
(1)
Figure 877285DEST_PATH_IMAGE002
(2)
In the formula (I), the compound is shown in the specification,
Figure 588889DEST_PATH_IMAGE003
the settlement difference between A # and B # is shown;
Figure 922919DEST_PATH_IMAGE004
the distance between a contact net upright post 1 and an A # pier is represented;
Figure 983148DEST_PATH_IMAGE005
the distance between a contact net upright post 1 and a B # pier is represented;
Figure 769838DEST_PATH_IMAGE006
the distance between a contact net upright post 1 and a C # pier is represented;
Figure 19554DEST_PATH_IMAGE007
the difference in sedimentation between B #, C # is shown.
The method can solve the problem of large-range periodic pier differential settlement monitoring, and can ensure the reliability and accuracy of the high-speed railway infrastructure differential settlement value based on the linear interpolation algorithm.
Specifically, for example, a portable Beidou or GPS receiver is adopted at the top of a pier and the bottom of a contact net stand column, accurate longitude and latitude coordinates of the high-speed railway pier and the contact net stand column are obtained, satellite time sequence differential radar interference technology is selected to extract a plurality of images to obtain settlement information of a natural Permanent Scatterer (PS) of the contact net stand column, the settlement information of the contact net stand column is calculated through a linear interpolation algorithm, data required by high-speed railway pier difference settlement observation can be obtained, and the problem of large-scale periodic pier difference settlement monitoring is solved.
The basic process of the high-speed railway settlement monitoring is as follows: the method comprises the steps of placing a portable Beidou or GPS receiver on the top of a high-speed railway pier and the bottom of a contact net upright column → obtaining the high-speed railway pier and the accurate longitude and latitude information of the contact net upright column → obtaining a high-resolution SAR image at a certain time interval → processing a plurality of SAR image data → corresponding to PS deformation points-extracting deformation information of the longitude and latitude coordinates of the contact net upright column → calculating by a linear interpolation algorithm → obtaining the relative differential settlement of adjacent piers of the high-speed railway.
The invention discloses a railway pier differential settlement monitoring method, which can monitor settlement change of high-speed railway infrastructure by adopting a satellite time sequence differential radar interference technology and construct a deformation monitoring network based on a natural Permanent Scatterer (PS) which is a contact net upright post. The satellite time sequence differential radar interference technology adopts a multi-temporal high-resolution short-wave satellite SAR image.
The method can solve the problem of large-scale periodic pier differential settlement monitoring, and can ensure the reliability and accuracy of the differential settlement value of the high-speed railway infrastructure based on the linear interpolation algorithm. The settlement data source not only is a satellite time sequence difference radar interference technology, but also can be data of a manual or infrastructure monitoring information center, and the success rate of settlement monitoring of the infrastructures along the railway can be improved by acquiring the data in various modes.
The method can accurately obtain the settlement difference value between adjacent piers of the high-speed railway and can ensure the reliability and accuracy rate of the differential settlement value of the infrastructure of the high-speed railway; the manpower and material resources can be greatly saved, and the cost of monitoring the settlement of the high-speed railway infrastructure is reduced; and the monitoring precision is higher, and the monitoring cycle is short.
Based on the same invention concept, the embodiment of the invention also provides a railway pier differential settlement monitoring device, and as the principle of the problem solved by the device is similar to a railway pier differential settlement monitoring method, the implementation of the device can refer to the implementation of the method, and repeated parts are not repeated.
In a second aspect, the present invention further provides a railway pier differential settlement monitoring device, as shown in fig. 3, including:
the acquiring module 31 is used for acquiring longitude and latitude coordinates of a high-speed railway pier and a contact net upright post;
the determining module 32 is used for determining the positions of the high-speed railway bridge piers and the contact net columns and related distance parameters according to the longitude and latitude coordinates; the relevant distance parameters include: the distance between piers and the distance between contact net columns;
the extraction module 33 is configured to extract settlement information of the catenary upright post permanent scatterer;
and the calculating module 34 is used for substituting the relevant distance parameters and the settlement information into a preset formula to obtain a settlement difference value between adjacent piers of the high-speed railway.
In one embodiment, the obtaining module 31 is specifically configured to obtain longitude and latitude coordinates of the high-speed railway pier and the overhead contact system column by using a portable compass or a GPS receiver at the top of the high-speed railway pier and the bottom of the overhead contact system column.
In an embodiment, the extracting module 33 is specifically configured to extract the settlement information of the natural and permanent scatterer, i.e. the catenary column, according to a time-series differential radar interferometry, a geotechnical measurement and/or a conventional geodetic measurement.
In an embodiment, the calculating module 34 is specifically configured to perform linear interpolation algorithm calculation on the longitude and latitude coordinates and the settlement information to obtain a settlement difference value between adjacent piers of the high-speed railway;
the linear interpolation algorithm is calculated as follows:
the monitoring range is arranged to include: three bridge piers and two upright columns; the three piers are respectively A #, B # and C #; the two upright columns are a contact net upright column 1 and a contact net upright column 2;
the differential settlement information of the contact net column 1 and the contact net column 2 isQ lc A distance ofL 1 (ii) a The distances between A # and B # piers and between B # and C # piers are allL 2
Figure 473669DEST_PATH_IMAGE001
(1)
Figure 704799DEST_PATH_IMAGE002
(2)
In the formula (I), the compound is shown in the specification,
Figure 775523DEST_PATH_IMAGE003
the settlement difference between A # and B # is shown;
Figure 297771DEST_PATH_IMAGE004
the distance between a contact net upright post 1 and an A # pier is represented;
Figure 717645DEST_PATH_IMAGE005
the distance between a contact net upright post 1 and a B # pier is represented;
Figure 870408DEST_PATH_IMAGE006
the distance between a contact net upright post 1 and a C # pier is represented;
Figure 631691DEST_PATH_IMAGE007
the difference in sedimentation between B #, C # is shown.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.

Claims (8)

1. A railway pier differential settlement monitoring method is characterized by comprising the following steps:
acquiring longitude and latitude coordinates of a high-speed railway pier and a contact net upright post;
determining the positions of the high-speed railway bridge piers and the contact net columns and relevant distance parameters according to the longitude and latitude coordinates; the relevant distance parameters include: the distance between piers and the distance between contact net columns;
extracting settlement information of the permanent scatterers of the contact net stand columns;
and substituting the related distance parameters and the settlement information into a preset formula to obtain the settlement difference value between adjacent piers of the high-speed railway.
2. The railway pier differential settlement monitoring method of claim 1, wherein the acquiring longitude and latitude coordinates of a high-speed railway pier and a contact network upright column comprises:
and portable Beidou or GPS receivers are adopted at the top of the high-speed railway pier and the bottom of the contact net upright column to obtain longitude and latitude coordinates of the high-speed railway pier and the contact net upright column.
3. The railway pier differential settlement monitoring method of claim 1, wherein extracting settlement information of the catenary column permanent scatterers comprises:
and extracting the settlement information of the permanent scatterer of the contact net upright post according to a time sequence differential radar interferometry, geotechnical measurement and/or conventional geodetic measurement mode.
4. The method for monitoring differential settlement of railway piers according to claim 1, wherein the step of substituting the relevant distance parameters and the settlement information into a preset formula to obtain the settlement difference value between adjacent piers of the high-speed railway comprises the following steps:
calculating the relevant distance parameters and the settlement information by a linear interpolation algorithm to obtain a settlement difference value between adjacent piers of the high-speed railway;
the linear interpolation algorithm is calculated as follows:
the monitoring range is arranged to include: three bridge piers and two upright columns; the three piers are respectively A #, B # and C #; the two upright columns are a contact net upright column 1 and a contact net upright column 2;
the differential settlement information of the contact net column 1 and the contact net column 2 isQ lc A distance ofL 1 (ii) a The distances between A # and B # piers and between B # and C # piers are allL 2
Figure 271428DEST_PATH_IMAGE001
(1)
Figure 794813DEST_PATH_IMAGE002
(2)
In the formula (I), the compound is shown in the specification,
Figure DEST_PATH_IMAGE003
the settlement difference between A # and B # is shown;
Figure 427920DEST_PATH_IMAGE004
the distance between a contact net upright post 1 and an A # pier is represented;
Figure 403966DEST_PATH_IMAGE005
the distance between a contact net upright post 1 and a B # pier is represented;
Figure DEST_PATH_IMAGE006
the distance between a contact net upright post 1 and a C # pier is represented;
Figure 413510DEST_PATH_IMAGE007
the difference in sedimentation between B #, C # is shown.
5. The utility model provides a railway pier difference settlement monitoring devices which characterized in that includes:
the acquisition module is used for acquiring longitude and latitude coordinates of a high-speed railway pier and a contact net upright post;
the determining module is used for determining the positions of the high-speed railway bridge piers and the contact net upright columns and relevant distance parameters according to the longitude and latitude coordinates; the relevant distance parameters include: the distance between piers and the distance between contact net columns;
the extraction module is used for extracting the settlement information of the permanent scatterer of the contact net stand column;
and the calculation module is used for substituting the relevant distance parameters and the settlement information into a preset formula to obtain the settlement difference value between adjacent piers of the high-speed railway.
6. The railway pier differential settlement monitoring device of claim 5, wherein the acquisition module is specifically configured to acquire longitude and latitude coordinates of a high-speed railway pier and a catenary upright column by using a portable Beidou or GPS receiver at the top of the high-speed railway pier and the bottom of the catenary upright column.
7. The railway pier differential settlement monitoring device of claim 5, wherein the extraction module is specifically configured to extract settlement information of the catenary column permanent scatterers according to a time sequence differential radar interferometry, geotechnical measurement and/or a conventional geodetic measurement mode.
8. The railway pier differential settlement monitoring device of claim 5, wherein the calculation module is specifically configured to perform linear interpolation algorithm calculation on the relevant distance parameters and the settlement information to obtain a settlement difference value between adjacent piers of the high-speed railway;
the linear interpolation algorithm is calculated as follows:
the monitoring range is arranged to include: three bridge piers and two upright columns; the three piers are respectively A #, B # and C #; the two upright columns are a contact net upright column 1 and a contact net upright column 2;
the differential settlement information of the contact net column 1 and the contact net column 2 isQ lc A distance ofL 1 (ii) a The distances between A # and B # piers and between B # and C # piers are allL 2
Figure 509511DEST_PATH_IMAGE001
(1)
Figure 844678DEST_PATH_IMAGE002
(2)
In the formula (I), the compound is shown in the specification,
Figure 42441DEST_PATH_IMAGE003
the settlement difference between A # and B # is shown;
Figure 121255DEST_PATH_IMAGE004
the distance between a contact net upright post 1 and an A # pier is represented;
Figure 822495DEST_PATH_IMAGE005
the distance between a contact net upright post 1 and a B # pier is represented;
Figure 328563DEST_PATH_IMAGE006
the distance between a contact net upright post 1 and a C # pier is represented;
Figure 997310DEST_PATH_IMAGE007
the difference in sedimentation between B #, C # is shown.
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CN110260840A (en) * 2019-06-28 2019-09-20 中铁大桥局集团有限公司 The measurement method and system of long bridge bridge pier absolute settlement amount over strait
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